Flynn, Andrew und Herteux, Joschka und Tsachouridis, Vassilios und Räth, Christoph und Amann, Andreas (2021) Symmetry kills the square in a multifunctional reservoir computer. Chaos, 31, 073122. American Institute of Physics (AIP). doi: 10.1063/5.0055699. ISSN 1054-1500.
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Offizielle URL: https://aip.scitation.org/doi/full/10.1063/5.0055699
Kurzfassung
The learning capabilities of a reservoir computer (RC) can be stifled due to symmetry in its design. Including quadratic terms in the training of a RC produces a square readout matrix that breaks the symmetry to quell the influence of mirror-attractors, which are inverted copies of the RC’s solutions in state space. In this paper, we prove analytically that certain symmetries in the training data forbid the square readout matrix to exist. These analytical results are explored numerically from the perspective of multifunctionality, by training the RC to specifically reconstruct a coexistence of the Lorenz attractor and its mirror-attractor. We demonstrate that the square readout matrix emerges when the position of one attractor is slightly altered, even if there are overlapping regions between the attractors or if there is a second pair of attractors. We also find that at large spectral radius values of the RCs internal connections, the square readout matrix reappears prior to the RC crossing the edge of chaos.
elib-URL des Eintrags: | https://elib.dlr.de/143096/ | ||||||||||||||||||||||||
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Dokumentart: | Zeitschriftenbeitrag | ||||||||||||||||||||||||
Titel: | Symmetry kills the square in a multifunctional reservoir computer | ||||||||||||||||||||||||
Autoren: |
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Datum: | 9 Juli 2021 | ||||||||||||||||||||||||
Erschienen in: | Chaos | ||||||||||||||||||||||||
Referierte Publikation: | Ja | ||||||||||||||||||||||||
Open Access: | Ja | ||||||||||||||||||||||||
Gold Open Access: | Nein | ||||||||||||||||||||||||
In SCOPUS: | Ja | ||||||||||||||||||||||||
In ISI Web of Science: | Ja | ||||||||||||||||||||||||
Band: | 31 | ||||||||||||||||||||||||
DOI: | 10.1063/5.0055699 | ||||||||||||||||||||||||
Seitenbereich: | 073122 | ||||||||||||||||||||||||
Verlag: | American Institute of Physics (AIP) | ||||||||||||||||||||||||
ISSN: | 1054-1500 | ||||||||||||||||||||||||
Status: | veröffentlicht | ||||||||||||||||||||||||
Stichwörter: | Artificial Intelligence, Machine Learning, Complex Systems, Chaos, Prediction, Reservoir Computing, Time Series Analysis | ||||||||||||||||||||||||
HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||||||||||||||
HGF - Programm: | Raumfahrt | ||||||||||||||||||||||||
HGF - Programmthema: | Forschung unter Weltraumbedingungen | ||||||||||||||||||||||||
DLR - Schwerpunkt: | Raumfahrt | ||||||||||||||||||||||||
DLR - Forschungsgebiet: | R FR - Forschung unter Weltraumbedingungen | ||||||||||||||||||||||||
DLR - Teilgebiet (Projekt, Vorhaben): | R - PK-4 | ||||||||||||||||||||||||
Standort: | Oberpfaffenhofen | ||||||||||||||||||||||||
Institute & Einrichtungen: | Institut für Materialphysik im Weltraum > Gruppe Komplexe Plasmen | ||||||||||||||||||||||||
Hinterlegt von: | Räth, Christoph | ||||||||||||||||||||||||
Hinterlegt am: | 14 Jul 2021 15:44 | ||||||||||||||||||||||||
Letzte Änderung: | 05 Dez 2023 07:47 |
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